Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and calculus
- Algebra, geometry, analysis, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Algebra, geometry, calculus, and trigonometry
What is a proof in mathematics?
What is a proof in mathematics?
- An argument that demonstrates the truth of a statement
- A succession of applications of deductive rules to already established results (correct)
- A series of steps that show how a problem can be solved
- A statement that is accepted as true without proof
What does most mathematical activity involve?
What does most mathematical activity involve?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Calculation of numerical values and measurements
- Memorization of formulas and equations
- Solving complex equations and problems
What are axioms in mathematics?
What are axioms in mathematics?
What is the common definition of mathematics among mathematicians?
What is the common definition of mathematics among mathematicians?